%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : LCL949^4 : TPTP v9.3.1. Released v8.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 11:24:14 AM UTC 2026 % Result : Theorem 1.42s 1.72s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL949^4 : TPTP v9.3.1. Released v8.1.0. % 0.00/0.04 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.10/0.36 % Computer : n029.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 21:09:10 UTC 2026 % 0.10/0.36 % CPUTime : % 0.19/0.49 %----Proving TH0 % 1.42/1.72 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 1.42/1.72 % SZS status Theorem % 1.42/1.72 % SZS output start Proof % 1.42/1.72 ( % 1.42/1.72 (declare-sort $$unsorted 0) % 1.42/1.72 (declare-sort tptp.mworld 0) % 1.42/1.72 (declare-const tptp.mactual tptp.mworld) % 1.42/1.72 (declare-const tptp.mrel (-> tptp.mworld tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.identity_relation $$unsorted) % 1.42/1.72 (declare-const tptp.successor_relation $$unsorted) % 1.42/1.72 (declare-const tptp.null_class $$unsorted) % 1.42/1.72 (declare-const tptp.element_relation $$unsorted) % 1.42/1.72 (declare-const tptp.universal_class $$unsorted) % 1.42/1.72 (declare-const tptp.subclass (-> $$unsorted $$unsorted tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.member (-> $$unsorted $$unsorted tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.inductive (-> $$unsorted tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.flip (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.first (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.qmltpeq (-> $$unsorted $$unsorted tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.domain_of (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.compose (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.singleton (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.image (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.complement (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.apply (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.cross_product (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.intersection (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.inverse (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.ordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.power_class (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.range_of (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.restrict (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.rotate (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.second (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.successor (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.sum_class (-> $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.union (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.unordered_pair (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.72 (declare-const tptp.disjoint (-> $$unsorted $$unsorted tptp.mworld Bool)) % 1.42/1.72 (declare-const tptp.function (-> $$unsorted tptp.mworld Bool)) % 1.42/1.72 (define tptp.mlocal () (let ((_let_1 (@var "Phi" (-> tptp.mworld Bool)))) (lambda (@list _let_1) (_ _let_1 tptp.mactual)))) % 1.42/1.72 (define tptp.mnot () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_2 _let_1) (not (_ _let_2 _let_1)))))) % 1.42/1.72 (define tptp.mand () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (and (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.42/1.72 (define tptp.mor () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (or (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.42/1.72 (define tptp.mimplies () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (=> (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.42/1.72 (define tptp.mequiv () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "B" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "A" (-> tptp.mworld Bool)))) (lambda (@list _let_3 _let_2 _let_1) (= (_ _let_3 _let_1) (_ _let_2 _let_1))))))) % 1.42/1.72 (define tptp.mbox () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (forall (@list _let_1) (=> (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 1.42/1.72 (define tptp.mdia () (let ((_let_1 (@var "V" tptp.mworld))) (let ((_let_2 (@var "Phi" (-> tptp.mworld Bool)))) (let ((_let_3 (@var "W" tptp.mworld))) (lambda (@list _let_2 _let_3) (exists (@list _let_1) (and (_ (_ tptp.mrel _let_3) _let_1) (_ _let_2 _let_1)))))))) % 1.42/1.72 (define tptp.mforall_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (forall (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 1.42/1.72 (define tptp.mexists_di () (let ((_let_1 (@var "W" tptp.mworld))) (let ((_let_2 (@var "X" $$unsorted))) (let ((_let_3 (@var "A" (-> $$unsorted tptp.mworld Bool)))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (_ (_ _let_3 _let_2) _let_1))))))) % 1.42/1.72 (define @t1 () (@var "W" tptp.mworld)) % 1.42/1.72 (define @t2 () (_ tptp.mrel @t1)) % 1.42/1.72 (define @t3 () (_ @t2 @t1)) % 1.42/1.72 (define @t4 () (@list @t1)) % 1.42/1.72 (define @t5 () (forall @t4 @t3)) % 1.42/1.72 (define @t6 () (@var "U" tptp.mworld)) % 1.42/1.72 (define @t7 () (@var "V" tptp.mworld)) % 1.42/1.72 (define @t8 () (_ @t2 @t7)) % 1.42/1.72 (define @t9 () (@var "__flatten_var_0" tptp.mworld)) % 1.42/1.72 (define @t10 () (@var "X" $$unsorted)) % 1.42/1.72 (define @t11 () (_ tptp.qmltpeq @t10)) % 1.42/1.72 (define @t12 () (@list @t10 @t9)) % 1.42/1.72 (define @t13 () (@var "Y" $$unsorted)) % 1.42/1.72 (define @t14 () (_ tptp.qmltpeq @t13)) % 1.42/1.72 (define @t15 () (_ tptp.mbox (_ @t11 @t13))) % 1.42/1.72 (define @t16 () (_ tptp.mimplies @t15)) % 1.42/1.72 (define @t17 () (@list @t13 @t9)) % 1.42/1.72 (define @t18 () (@var "Z" $$unsorted)) % 1.42/1.72 (define @t19 () (@list @t18 @t9)) % 1.42/1.72 (define @t20 () (@var "C" $$unsorted)) % 1.42/1.72 (define @t21 () (@var "B" $$unsorted)) % 1.42/1.72 (define @t22 () (@var "A" $$unsorted)) % 1.42/1.72 (define @t23 () (_ tptp.mbox (_ (_ tptp.qmltpeq @t22) @t21))) % 1.42/1.72 (define @t24 () (_ tptp.mimplies @t23)) % 1.42/1.72 (define @t25 () (@list @t20 @t9)) % 1.42/1.72 (define @t26 () (@list @t21 @t9)) % 1.42/1.72 (define @t27 () (@list @t22 @t9)) % 1.42/1.72 (define @t28 () (_ tptp.apply @t20)) % 1.42/1.72 (define @t29 () (_ tptp.compose @t20)) % 1.42/1.72 (define @t30 () (_ tptp.cross_product @t20)) % 1.42/1.72 (define @t31 () (_ tptp.image @t20)) % 1.42/1.72 (define @t32 () (_ tptp.intersection @t20)) % 1.42/1.72 (define @t33 () (_ tptp.ordered_pair @t20)) % 1.42/1.72 (define @t34 () (@var "D" $$unsorted)) % 1.42/1.72 (define @t35 () (@list @t34 @t9)) % 1.42/1.72 (define @t36 () (_ tptp.restrict @t20)) % 1.42/1.72 (define @t37 () (_ @t36 @t34)) % 1.42/1.72 (define @t38 () (_ tptp.union @t20)) % 1.42/1.72 (define @t39 () (_ tptp.unordered_pair @t20)) % 1.42/1.72 (define @t40 () (_ tptp.mand @t23)) % 1.42/1.72 (define @t41 () (_ tptp.disjoint @t20)) % 1.42/1.72 (define @t42 () (_ tptp.member @t20)) % 1.42/1.72 (define @t43 () (_ tptp.subclass @t20)) % 1.42/1.72 (define @t44 () (_ tptp.subclass @t10)) % 1.42/1.72 (define @t45 () (_ @t44 @t13)) % 1.42/1.72 (define @t46 () (_ tptp.mbox @t45)) % 1.42/1.72 (define @t47 () (@var "U" $$unsorted)) % 1.42/1.72 (define @t48 () (_ tptp.member @t47)) % 1.42/1.72 (define @t49 () (_ @t48 @t13)) % 1.42/1.72 (define @t50 () (_ tptp.mbox @t49)) % 1.42/1.72 (define @t51 () (_ @t48 @t10)) % 1.42/1.72 (define @t52 () (_ tptp.mbox @t51)) % 1.42/1.72 (define @t53 () (@list @t47 @t9)) % 1.42/1.72 (define @t54 () (lambda @t53 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t52) @t50)) @t9))) % 1.42/1.72 (define @t55 () (_ tptp.mbox (_ tptp.mforall_di @t54))) % 1.42/1.72 (define @t56 () (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t46) @t55))) (_ tptp.mbox (_ (_ tptp.mimplies @t55) @t46))) @t9))) % 1.42/1.72 (define @t57 () (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di @t56)) @t9))) % 1.42/1.72 (define @t58 () (_ (_ tptp.mand @t46) (_ tptp.mbox (_ (_ tptp.subclass @t13) @t10)))) % 1.42/1.72 (define @t59 () (_ tptp.unordered_pair @t10)) % 1.42/1.72 (define @t60 () (_ @t59 @t13)) % 1.42/1.72 (define @t61 () (_ tptp.mbox (_ @t48 @t60))) % 1.42/1.72 (define @t62 () (_ tptp.qmltpeq @t47)) % 1.42/1.72 (define @t63 () (_ tptp.mbox (_ @t48 tptp.universal_class))) % 1.42/1.72 (define @t64 () (_ tptp.mand @t63)) % 1.42/1.72 (define @t65 () (_ @t64 (_ (_ tptp.mor (_ tptp.mbox (_ @t62 @t10))) (_ tptp.mbox (_ @t62 @t13))))) % 1.42/1.72 (define @t66 () (_ tptp.singleton @t10)) % 1.42/1.72 (define @t67 () (_ tptp.singleton @t13)) % 1.42/1.72 (define @t68 () (_ (_ tptp.ordered_pair @t10) @t13)) % 1.42/1.72 (define @t69 () (_ (_ tptp.cross_product @t10) @t13)) % 1.42/1.72 (define @t70 () (@var "V" $$unsorted)) % 1.42/1.72 (define @t71 () (_ (_ tptp.ordered_pair @t47) @t70)) % 1.42/1.72 (define @t72 () (_ tptp.member @t71)) % 1.42/1.72 (define @t73 () (_ tptp.mbox (_ @t72 @t69))) % 1.42/1.72 (define @t74 () (_ tptp.member @t70)) % 1.42/1.72 (define @t75 () (_ tptp.mand @t52)) % 1.42/1.72 (define @t76 () (_ @t75 (_ tptp.mbox (_ @t74 @t13)))) % 1.42/1.72 (define @t77 () (@list @t70 @t9)) % 1.42/1.72 (define @t78 () (_ tptp.member @t18)) % 1.42/1.72 (define @t79 () (_ tptp.member @t68)) % 1.42/1.72 (define @t80 () (_ tptp.mbox (_ @t79 tptp.element_relation))) % 1.42/1.72 (define @t81 () (_ tptp.member @t10)) % 1.42/1.72 (define @t82 () (_ tptp.member @t13)) % 1.42/1.72 (define @t83 () (_ tptp.mbox (_ @t82 tptp.universal_class))) % 1.42/1.72 (define @t84 () (_ tptp.mand @t83)) % 1.42/1.72 (define @t85 () (_ @t84 (_ tptp.mbox (_ @t81 @t13)))) % 1.42/1.72 (define @t86 () (_ (_ tptp.cross_product tptp.universal_class) tptp.universal_class)) % 1.42/1.72 (define @t87 () (_ tptp.mbox (_ @t78 (_ (_ tptp.intersection @t10) @t13)))) % 1.42/1.72 (define @t88 () (_ tptp.mbox (_ @t78 @t13))) % 1.42/1.72 (define @t89 () (_ tptp.mbox (_ @t78 @t10))) % 1.42/1.72 (define @t90 () (_ (_ tptp.mand @t89) @t88)) % 1.42/1.72 (define @t91 () (_ tptp.mbox (_ @t78 (_ tptp.complement @t10)))) % 1.42/1.72 (define @t92 () (_ tptp.mand (_ tptp.mbox (_ @t78 tptp.universal_class)))) % 1.42/1.72 (define @t93 () (_ @t92 (_ tptp.mbox (_ tptp.mnot @t89)))) % 1.42/1.72 (define @t94 () (@var "XR" $$unsorted)) % 1.42/1.72 (define @t95 () (_ (_ tptp.restrict @t94) @t10)) % 1.42/1.72 (define @t96 () (@list @t94 @t9)) % 1.42/1.72 (define @t97 () (_ tptp.mbox (_ @t78 (_ tptp.domain_of @t10)))) % 1.42/1.72 (define @t98 () (_ @t92 (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ (_ tptp.restrict @t10) (_ tptp.singleton @t18)) tptp.universal_class)) tptp.null_class)))))) % 1.42/1.72 (define @t99 () (_ tptp.rotate @t10)) % 1.42/1.72 (define @t100 () (@var "W" $$unsorted)) % 1.42/1.72 (define @t101 () (_ tptp.member (_ (_ tptp.ordered_pair @t71) @t100))) % 1.42/1.72 (define @t102 () (_ tptp.mbox (_ @t101 @t99))) % 1.42/1.72 (define @t103 () (_ tptp.ordered_pair @t70)) % 1.42/1.72 (define @t104 () (_ (_ tptp.cross_product @t86) tptp.universal_class)) % 1.42/1.72 (define @t105 () (_ tptp.mand (_ tptp.mbox (_ @t101 @t104)))) % 1.42/1.72 (define @t106 () (_ @t105 (_ tptp.mbox (_ (_ tptp.member (_ (_ tptp.ordered_pair (_ @t103 @t100)) @t47)) @t10)))) % 1.42/1.72 (define @t107 () (@list @t100 @t9)) % 1.42/1.72 (define @t108 () (_ tptp.flip @t10)) % 1.42/1.72 (define @t109 () (_ tptp.mbox (_ @t101 @t108))) % 1.42/1.72 (define @t110 () (_ @t105 (_ tptp.mbox (_ (_ tptp.member (_ (_ tptp.ordered_pair (_ @t103 @t47)) @t100)) @t10)))) % 1.42/1.72 (define @t111 () (_ tptp.union @t10)) % 1.42/1.72 (define @t112 () (_ tptp.mbox (_ @t78 (_ @t111 @t13)))) % 1.42/1.72 (define @t113 () (_ (_ tptp.mor @t89) @t88)) % 1.42/1.72 (define @t114 () (_ tptp.qmltpeq (_ tptp.successor @t10))) % 1.42/1.72 (define @t115 () (_ tptp.mbox (_ @t79 tptp.successor_relation))) % 1.42/1.72 (define @t116 () (_ tptp.mbox (_ @t81 tptp.universal_class))) % 1.42/1.72 (define @t117 () (_ tptp.mand @t116)) % 1.42/1.72 (define @t118 () (_ @t117 (_ @t84 (_ tptp.mbox (_ @t114 @t13))))) % 1.42/1.72 (define @t119 () (_ tptp.mbox (_ tptp.inductive @t10))) % 1.42/1.72 (define @t120 () (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.member tptp.null_class) @t10))) (_ tptp.mbox (_ (_ tptp.subclass (_ (_ tptp.image tptp.successor_relation) @t10)) @t10)))) % 1.42/1.72 (define @t121 () (_ tptp.sum_class @t10)) % 1.42/1.72 (define @t122 () (_ tptp.mbox (_ @t48 @t121))) % 1.42/1.72 (define @t123 () (_ tptp.mexists_di (lambda @t17 (_ (_ (_ tptp.mand @t50) (_ tptp.mbox (_ @t82 @t10))) @t9)))) % 1.42/1.72 (define @t124 () (_ tptp.mbox (_ @t48 (_ tptp.power_class @t10)))) % 1.42/1.72 (define @t125 () (_ @t64 (_ tptp.mbox (_ (_ tptp.subclass @t47) @t10)))) % 1.42/1.72 (define @t126 () (@var "YR" $$unsorted)) % 1.42/1.72 (define @t127 () (_ (_ tptp.compose @t126) @t94)) % 1.42/1.72 (define @t128 () (@list @t126 @t9)) % 1.42/1.72 (define @t129 () (_ tptp.mbox (_ @t72 @t127))) % 1.42/1.72 (define @t130 () (_ tptp.image @t126)) % 1.42/1.72 (define @t131 () (_ @t64 (_ tptp.mbox (_ @t74 (_ @t130 (_ @t130 (_ tptp.singleton @t47))))))) % 1.42/1.72 (define @t132 () (@var "XF" $$unsorted)) % 1.42/1.72 (define @t133 () (_ tptp.mbox (_ tptp.function @t132))) % 1.42/1.72 (define @t134 () (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.subclass @t132) @t86))) (_ tptp.mbox (_ (_ tptp.subclass (_ (_ tptp.compose @t132) (_ tptp.inverse @t132))) tptp.identity_relation)))) % 1.42/1.72 (define @t135 () (@list @t132 @t9)) % 1.42/1.72 (define @t136 () (_ tptp.image @t132)) % 1.42/1.72 (define @t137 () (_ tptp.mbox (_ (_ tptp.disjoint @t10) @t13))) % 1.42/1.72 (define @t138 () (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mnot (_ @t75 @t50))) @t9))))) % 1.42/1.72 (define @t139 () (_ (_ tptp.apply @t132) @t13)) % 1.42/1.72 (define @t140 () (_ @t44 @t10)) % 1.42/1.72 (define @t141 () (lambda @t12 (_ (_ tptp.mbox @t140) @t9))) % 1.42/1.72 (define @t142 () (not (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t141))))) % 1.42/1.72 (define @t143 () (@var "Phi" (-> tptp.mworld Bool))) % 1.42/1.72 (define @t144 () (lambda (@list @t143) (_ @t143 tptp.mactual))) % 1.42/1.72 (define @t145 () (@var "A" (-> tptp.mworld Bool))) % 1.42/1.72 (define @t146 () (_ @t145 @t1)) % 1.42/1.72 (define @t147 () (lambda (@list @t145 @t1) (not @t146))) % 1.42/1.72 (define @t148 () (@var "B" (-> tptp.mworld Bool))) % 1.42/1.72 (define @t149 () (_ @t148 @t1)) % 1.42/1.72 (define @t150 () (@list @t145 @t148 @t1)) % 1.42/1.72 (define @t151 () (lambda @t150 (and @t146 @t149))) % 1.42/1.72 (define @t152 () (lambda @t150 (or @t146 @t149))) % 1.42/1.72 (define @t153 () (lambda @t150 (=> @t146 @t149))) % 1.42/1.72 (define @t154 () (lambda @t150 (= @t146 @t149))) % 1.42/1.72 (define @t155 () (_ @t143 @t7)) % 1.42/1.72 (define @t156 () (@list @t7)) % 1.42/1.72 (define @t157 () (forall @t156 (=> @t8 @t155))) % 1.42/1.72 (define @t158 () (@list @t143 @t1)) % 1.42/1.72 (define @t159 () (lambda @t158 @t157)) % 1.42/1.72 (define @t160 () (lambda @t158 (exists @t156 (and @t8 @t155)))) % 1.42/1.72 (define @t161 () (@var "A" (-> $$unsorted tptp.mworld Bool))) % 1.42/1.72 (define @t162 () (_ (_ @t161 @t10) @t1)) % 1.42/1.72 (define @t163 () (@list @t10)) % 1.42/1.72 (define @t164 () (forall @t163 @t162)) % 1.42/1.72 (define @t165 () (@list @t161 @t1)) % 1.42/1.72 (define @t166 () (lambda @t165 @t164)) % 1.42/1.72 (define @t167 () (lambda @t165 (exists @t163 @t162))) % 1.42/1.72 (define @t168 () (@var "BOUND_VARIABLE_22724" tptp.mworld)) % 1.42/1.72 (define @t169 () (@var "BOUND_VARIABLE_22720" $$unsorted)) % 1.42/1.72 (define @t170 () (@var "BOUND_VARIABLE_22704" $$unsorted)) % 1.42/1.72 (define @t171 () (@var "BOUND_VARIABLE_22722" tptp.mworld)) % 1.42/1.72 (define @t172 () (@var "BOUND_VARIABLE_22326" tptp.mworld)) % 1.42/1.72 (define @t173 () (@var "BOUND_VARIABLE_22322" $$unsorted)) % 1.42/1.72 (define @t174 () (@var "BOUND_VARIABLE_22324" tptp.mworld)) % 1.42/1.72 (define @t175 () (not (tptp.mrel @t174 @t172))) % 1.42/1.72 (define @t176 () (@var "BOUND_VARIABLE_22229" tptp.mworld)) % 1.42/1.72 (define @t177 () (not (tptp.mrel @t174 @t176))) % 1.42/1.72 (define @t178 () (@list @t176)) % 1.42/1.72 (define @t179 () (@var "BOUND_VARIABLE_22450" tptp.mworld)) % 1.42/1.72 (define @t180 () (not (tptp.mrel @t179 @t174))) % 1.42/1.72 (define @t181 () (@list @t179 @t173 @t174 @t172)) % 1.42/1.72 (define @t182 () (@var "BOUND_VARIABLE_22706" tptp.mworld)) % 1.42/1.72 (define @t183 () (@var "BOUND_VARIABLE_22718" tptp.mworld)) % 1.42/1.72 (define @t184 () (@var "BOUND_VARIABLE_22708" $$unsorted)) % 1.42/1.72 (define @t185 () (@var "BOUND_VARIABLE_22714" $$unsorted)) % 1.42/1.72 (define @t186 () (@var "BOUND_VARIABLE_22716" tptp.mworld)) % 1.42/1.72 (define @t187 () (@var "BOUND_VARIABLE_22712" tptp.mworld)) % 1.42/1.72 (define @t188 () (@var "BOUND_VARIABLE_22710" tptp.mworld)) % 1.42/1.72 (define @t189 () (@var "BOUND_VARIABLE_22366" tptp.mworld)) % 1.42/1.72 (define @t190 () (@list @t189)) % 1.42/1.72 (define @t191 () (and (or (not (tptp.mrel @t182 @t188)) (not (forall @t190 (or (not (tptp.mrel @t188 @t189)) (tptp.subclass @t170 @t184 @t189)))) (not (tptp.mrel @t188 @t187)) (not (tptp.mrel @t187 @t186)) (not (forall @t178 (or (not (tptp.mrel @t186 @t176)) (tptp.member @t185 @t170 @t176)))) (not (tptp.mrel @t186 @t183)) (tptp.member @t185 @t184 @t183)) (or (not (tptp.mrel @t182 @t171)) (not (forall @t181 (or (not (tptp.mrel @t171 @t179)) @t180 (not (forall @t178 (or @t177 (tptp.member @t173 @t170 @t176)))) @t175 (tptp.member @t173 @t169 @t172)))) (not (tptp.mrel @t171 @t168)) (tptp.subclass @t170 @t169 @t168)))) % 1.42/1.72 (define @t192 () (not (tptp.mrel @t7 @t182))) % 1.42/1.72 (define @t193 () (not (tptp.mrel tptp.mactual @t7))) % 1.42/1.72 (define @t194 () (@list @t7 @t170 @t182 @t184 @t188 @t187 @t185 @t186 @t183 @t169 @t171 @t168)) % 1.42/1.72 (define @t195 () (tptp.mrel @t1 @t7)) % 1.42/1.72 (define @t196 () (not @t195)) % 1.42/1.72 (define @t197 () (or @t196 @t192 @t191)) % 1.42/1.72 (define @t198 () (lambda @t4 (forall @t194 @t197))) % 1.42/1.72 (define @t199 () (_ @t198 tptp.mactual)) % 1.42/1.72 (define @t200 () (or @t192 @t191)) % 1.42/1.72 (define @t201 () (or @t196 @t200)) % 1.42/1.72 (define @t202 () (forall @t194 @t201)) % 1.42/1.72 (define @t203 () (@list @t170 @t182 @t184 @t188 @t187 @t185 @t186 @t183 @t169 @t171 @t168)) % 1.42/1.72 (define @t204 () (forall @t203 @t201)) % 1.42/1.72 (define @t205 () (forall @t203 @t200)) % 1.42/1.72 (define @t206 () (@var "BOUND_VARIABLE_22645" tptp.mworld)) % 1.42/1.72 (define @t207 () (@var "BOUND_VARIABLE_22643" tptp.mworld)) % 1.42/1.72 (define @t208 () (@var "BOUND_VARIABLE_22641" $$unsorted)) % 1.42/1.72 (define @t209 () (@var "BOUND_VARIABLE_22617" tptp.mworld)) % 1.42/1.72 (define @t210 () (@var "BOUND_VARIABLE_22615" tptp.mworld)) % 1.42/1.72 (define @t211 () (@var "BOUND_VARIABLE_22613" $$unsorted)) % 1.42/1.72 (define @t212 () (@var "BOUND_VARIABLE_22611" tptp.mworld)) % 1.42/1.72 (define @t213 () (@var "BOUND_VARIABLE_22609" tptp.mworld)) % 1.42/1.72 (define @t214 () (@var "BOUND_VARIABLE_22607" $$unsorted)) % 1.42/1.72 (define @t215 () (@var "BOUND_VARIABLE_22682" tptp.mworld)) % 1.42/1.72 (define @t216 () (or @t196 @t205)) % 1.42/1.72 (define @t217 () (tptp.subclass @t10 @t208 @t206)) % 1.42/1.72 (define @t218 () (not (tptp.mrel @t207 @t206))) % 1.42/1.72 (define @t219 () (not (forall @t178 (or @t177 (tptp.member @t173 @t10 @t176))))) % 1.42/1.72 (define @t220 () (not (forall @t181 (or (not (tptp.mrel @t207 @t179)) @t180 @t219 @t175 (tptp.member @t173 @t208 @t172))))) % 1.42/1.72 (define @t221 () (tptp.member @t211 @t214 @t209)) % 1.42/1.72 (define @t222 () (not (tptp.mrel @t210 @t209))) % 1.42/1.72 (define @t223 () (not (forall @t178 (or (not (tptp.mrel @t210 @t176)) (tptp.member @t211 @t10 @t176))))) % 1.42/1.72 (define @t224 () (not (tptp.mrel @t212 @t210))) % 1.42/1.72 (define @t225 () (not (tptp.mrel @t213 @t212))) % 1.42/1.72 (define @t226 () (not (forall @t190 (or (not (tptp.mrel @t213 @t189)) (tptp.subclass @t10 @t214 @t189))))) % 1.42/1.72 (define @t227 () (and (or (not (tptp.mrel @t215 @t213)) @t226 @t225 @t224 @t223 @t222 @t221) (or (not (tptp.mrel @t215 @t207)) @t220 @t218 @t217))) % 1.42/1.72 (define @t228 () (@list @t10 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 1.42/1.72 (define @t229 () (forall @t228 (or (not (tptp.mrel @t7 @t215)) @t227))) % 1.42/1.72 (define @t230 () (or (not (tptp.mrel @t7 @t207)) @t220 @t218 @t217)) % 1.42/1.72 (define @t231 () (or (not (tptp.mrel @t7 @t213)) @t226 @t225 @t224 @t223 @t222 @t221)) % 1.42/1.72 (define @t232 () (and @t231 @t230)) % 1.42/1.72 (define @t233 () (or @t196 @t232)) % 1.42/1.72 (define @t234 () (forall (@list @t10 @t7 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206) @t233)) % 1.42/1.72 (define @t235 () (@list @t7)) % 1.42/1.72 (define @t236 () (lambda @t4 @t234)) % 1.42/1.72 (define @t237 () (or @t196 (_ @t236 @t7))) % 1.42/1.72 (define @t238 () (forall @t156 @t237)) % 1.42/1.72 (define @t239 () (lambda @t4 @t238)) % 1.42/1.72 (define @t240 () (_ @t143 @t7)) % 1.42/1.72 (define @t241 () (lambda @t158 (forall @t156 (or @t196 @t240)))) % 1.42/1.72 (define @t242 () (@list @t7 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 1.42/1.72 (define @t243 () (forall @t242 @t233)) % 1.42/1.72 (define @t244 () (not (tptp.mrel @t9 @t7))) % 1.42/1.72 (define @t245 () (forall @t242 (or @t244 @t232))) % 1.42/1.72 (define @t246 () (lambda @t12 @t245)) % 1.42/1.72 (define @t247 () (_ @t246 @t10 @t1)) % 1.42/1.72 (define @t248 () (forall @t163 @t247)) % 1.42/1.72 (define @t249 () (lambda @t4 @t248)) % 1.42/1.72 (define @t250 () (_ @t161 @t10 @t1)) % 1.42/1.72 (define @t251 () (forall @t163 @t250)) % 1.42/1.72 (define @t252 () (lambda @t165 @t251)) % 1.42/1.72 (define @t253 () (@list @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206)) % 1.42/1.72 (define @t254 () (forall @t253 @t233)) % 1.42/1.72 (define @t255 () (forall (@list @t208 @t207 @t206) @t230)) % 1.42/1.72 (define @t256 () (@var "BOUND_VARIABLE_22477" tptp.mworld)) % 1.42/1.72 (define @t257 () (@var "BOUND_VARIABLE_22565" tptp.mworld)) % 1.42/1.72 (define @t258 () (@var "BOUND_VARIABLE_22542" $$unsorted)) % 1.42/1.72 (define @t259 () (forall @t253 @t230)) % 1.42/1.72 (define @t260 () (forall (@list @t214 @t213 @t212 @t211 @t210 @t209) @t231)) % 1.42/1.72 (define @t261 () (@var "BOUND_VARIABLE_22398" tptp.mworld)) % 1.42/1.72 (define @t262 () (@var "BOUND_VARIABLE_22396" tptp.mworld)) % 1.42/1.72 (define @t263 () (@var "BOUND_VARIABLE_22394" $$unsorted)) % 1.42/1.72 (define @t264 () (@var "BOUND_VARIABLE_22392" tptp.mworld)) % 1.42/1.72 (define @t265 () (@var "BOUND_VARIABLE_22579" tptp.mworld)) % 1.42/1.72 (define @t266 () (@var "BOUND_VARIABLE_22531" $$unsorted)) % 1.42/1.72 (define @t267 () (forall @t253 @t231)) % 1.42/1.72 (define @t268 () (and @t267 @t259)) % 1.42/1.72 (define @t269 () (forall @t253 @t232)) % 1.42/1.72 (define @t270 () (or @t196 @t269)) % 1.42/1.72 (define @t271 () (tptp.subclass @t10 @t258 @t256)) % 1.42/1.72 (define @t272 () (not (tptp.mrel @t257 @t256))) % 1.42/1.72 (define @t273 () (tptp.member @t173 @t258 @t172)) % 1.42/1.72 (define @t274 () (not (forall @t181 (or (not (tptp.mrel @t257 @t179)) @t180 @t219 @t175 @t273)))) % 1.42/1.72 (define @t275 () (@list @t258 @t257 @t256)) % 1.42/1.72 (define @t276 () (tptp.member @t263 @t266 @t261)) % 1.42/1.72 (define @t277 () (not (tptp.mrel @t262 @t261))) % 1.42/1.72 (define @t278 () (not (forall @t178 (or (not (tptp.mrel @t262 @t176)) (tptp.member @t263 @t10 @t176))))) % 1.42/1.72 (define @t279 () (not (tptp.mrel @t264 @t262))) % 1.42/1.72 (define @t280 () (not (tptp.mrel @t265 @t264))) % 1.42/1.72 (define @t281 () (tptp.subclass @t10 @t266 @t189)) % 1.42/1.72 (define @t282 () (not (forall @t190 (or (not (tptp.mrel @t265 @t189)) @t281)))) % 1.42/1.72 (define @t283 () (@list @t266 @t265 @t264 @t263 @t262 @t261)) % 1.42/1.72 (define @t284 () (and (forall @t283 (or (not (tptp.mrel @t7 @t265)) @t282 @t280 @t279 @t278 @t277 @t276)) (forall @t275 (or (not (tptp.mrel @t7 @t257)) @t274 @t272 @t271)))) % 1.42/1.72 (define @t285 () (not (tptp.mrel @t7 @t256))) % 1.42/1.72 (define @t286 () (not (tptp.mrel @t7 @t179))) % 1.42/1.72 (define @t287 () (or @t196 (not (forall @t181 (or @t286 @t180 @t219 @t175 @t273))) @t285 @t271)) % 1.42/1.72 (define @t288 () (forall (@list @t258 @t7 @t256) @t287)) % 1.42/1.72 (define @t289 () (not (tptp.mrel @t7 @t264))) % 1.42/1.72 (define @t290 () (not (tptp.mrel @t7 @t189))) % 1.42/1.72 (define @t291 () (or @t196 (not (forall @t190 (or @t290 @t281))) @t289 @t279 @t278 @t277 @t276)) % 1.42/1.72 (define @t292 () (forall (@list @t266 @t7 @t264 @t263 @t262 @t261) @t291)) % 1.42/1.72 (define @t293 () (and @t292 @t288)) % 1.42/1.72 (define @t294 () (lambda @t4 @t293)) % 1.42/1.72 (define @t295 () (or @t196 (_ @t294 @t7))) % 1.42/1.72 (define @t296 () (forall @t156 @t295)) % 1.42/1.72 (define @t297 () (lambda @t4 @t296)) % 1.42/1.72 (define @t298 () (@list @t7 @t256)) % 1.42/1.72 (define @t299 () (forall (@list @t258) (forall @t298 @t287))) % 1.42/1.72 (define @t300 () (@list @t7 @t264 @t263 @t262 @t261)) % 1.42/1.72 (define @t301 () (forall (@list @t266) (forall @t300 @t291))) % 1.42/1.72 (define @t302 () (@var "BOUND_VARIABLE_22504" $$unsorted)) % 1.42/1.72 (define @t303 () (forall @t298 (or @t196 (not (forall @t181 (or @t286 @t180 @t219 @t175 (tptp.member @t173 @t302 @t172)))) @t285 (tptp.subclass @t10 @t302 @t256)))) % 1.42/1.72 (define @t304 () (@list @t302)) % 1.42/1.72 (define @t305 () (forall @t304 @t303)) % 1.42/1.72 (define @t306 () (@list @t302)) % 1.42/1.72 (define @t307 () (forall @t300 (or @t196 (not (forall @t190 (or @t290 (tptp.subclass @t10 @t302 @t189)))) @t289 @t279 @t278 @t277 (tptp.member @t263 @t302 @t261)))) % 1.42/1.72 (define @t308 () (forall @t304 @t307)) % 1.42/1.72 (define @t309 () (and @t308 @t305)) % 1.42/1.72 (define @t310 () (and @t307 @t303)) % 1.42/1.72 (define @t311 () (tptp.subclass @t10 @t13 @t256)) % 1.42/1.72 (define @t312 () (tptp.member @t173 @t13 @t172)) % 1.42/1.72 (define @t313 () (forall @t181 (or @t286 @t180 @t219 @t175 @t312))) % 1.42/1.72 (define @t314 () (not @t313)) % 1.42/1.72 (define @t315 () (tptp.member @t263 @t13 @t261)) % 1.42/1.72 (define @t316 () (tptp.subclass @t10 @t13 @t189)) % 1.42/1.72 (define @t317 () (forall @t190 (or @t290 @t316))) % 1.42/1.72 (define @t318 () (not @t317)) % 1.42/1.72 (define @t319 () (and (forall @t300 (or @t244 @t318 @t289 @t279 @t278 @t277 @t315)) (forall @t298 (or @t244 @t314 @t285 @t311)))) % 1.42/1.72 (define @t320 () (lambda @t17 @t319)) % 1.42/1.72 (define @t321 () (_ @t320 @t302 @t1)) % 1.42/1.72 (define @t322 () (forall @t304 @t321)) % 1.42/1.72 (define @t323 () (lambda @t4 @t322)) % 1.42/1.72 (define @t324 () (@list @t10)) % 1.42/1.72 (define @t325 () (or @t196 @t314 @t285 @t311)) % 1.42/1.72 (define @t326 () (forall @t298 @t325)) % 1.42/1.72 (define @t327 () (or @t196 @t318 @t289 @t279 @t278 @t277 @t315)) % 1.42/1.72 (define @t328 () (forall @t300 @t327)) % 1.42/1.72 (define @t329 () (lambda @t4 @t326)) % 1.42/1.72 (define @t330 () (_ @t329 @t1)) % 1.42/1.72 (define @t331 () (and @t328 @t330)) % 1.42/1.72 (define @t332 () (lambda @t4 @t331)) % 1.42/1.72 (define @t333 () (@list @t148 @t1)) % 1.42/1.72 (define @t334 () (or @t285 @t311)) % 1.42/1.72 (define @t335 () (or @t196 @t314 @t334)) % 1.42/1.72 (define @t336 () (forall @t298 @t335)) % 1.42/1.72 (define @t337 () (@list @t256)) % 1.42/1.72 (define @t338 () (forall @t337 @t335)) % 1.42/1.72 (define @t339 () (forall @t337 @t334)) % 1.42/1.72 (define @t340 () (@var "BOUND_VARIABLE_22442" tptp.mworld)) % 1.42/1.72 (define @t341 () (@list @t340)) % 1.42/1.72 (define @t342 () (or @t196 @t314 @t339)) % 1.42/1.72 (define @t343 () (tptp.subclass @t10 @t13 @t340)) % 1.42/1.72 (define @t344 () (@list @t340)) % 1.42/1.72 (define @t345 () (forall @t344 (or (not (tptp.mrel @t7 @t340)) @t343))) % 1.42/1.72 (define @t346 () (or @t196 @t314 @t345)) % 1.42/1.72 (define @t347 () (=> @t313 @t345)) % 1.42/1.72 (define @t348 () (or @t196 @t347)) % 1.42/1.72 (define @t349 () (tptp.subclass @t10 @t13 @t7)) % 1.42/1.72 (define @t350 () (forall @t156 (or @t196 @t349))) % 1.42/1.72 (define @t351 () (not (tptp.mrel @t7 @t174))) % 1.42/1.72 (define @t352 () (or @t196 @t351 @t219 @t175 @t312)) % 1.42/1.72 (define @t353 () (@list @t7 @t173 @t174 @t172)) % 1.42/1.72 (define @t354 () (forall @t353 @t352)) % 1.42/1.72 (define @t355 () (=> @t354 @t350)) % 1.42/1.72 (define @t356 () (lambda @t4 @t355)) % 1.42/1.72 (define @t357 () (or @t196 (_ @t356 @t7))) % 1.42/1.72 (define @t358 () (forall @t156 @t357)) % 1.42/1.72 (define @t359 () (lambda @t4 @t358)) % 1.42/1.72 (define @t360 () (lambda @t4 @t350)) % 1.42/1.72 (define @t361 () (_ @t360 @t1)) % 1.42/1.72 (define @t362 () (=> @t354 @t361)) % 1.42/1.72 (define @t363 () (lambda @t4 @t362)) % 1.42/1.72 (define @t364 () (_ @t45 @t7)) % 1.42/1.72 (define @t365 () (or @t196 @t364)) % 1.42/1.72 (define @t366 () (_ @t45 @t7)) % 1.42/1.72 (define @t367 () (or @t196 @t366)) % 1.42/1.72 (define @t368 () (forall @t156 @t367)) % 1.42/1.72 (define @t369 () (lambda @t4 @t368)) % 1.42/1.72 (define @t370 () (_ @t241 @t45)) % 1.42/1.72 (define @t371 () (lambda @t4 @t354)) % 1.42/1.72 (define @t372 () (_ @t371 @t1)) % 1.42/1.72 (define @t373 () (=> @t372 @t149)) % 1.42/1.72 (define @t374 () (lambda @t333 @t373)) % 1.42/1.72 (define @t375 () (or @t351 @t219 @t175 @t312)) % 1.42/1.72 (define @t376 () (or @t196 @t375)) % 1.42/1.72 (define @t377 () (forall @t353 @t376)) % 1.42/1.72 (define @t378 () (@list @t173 @t174 @t172)) % 1.42/1.72 (define @t379 () (forall @t378 @t376)) % 1.42/1.72 (define @t380 () (forall @t378 @t375)) % 1.42/1.72 (define @t381 () (@var "BOUND_VARIABLE_22255" tptp.mworld)) % 1.42/1.72 (define @t382 () (@var "BOUND_VARIABLE_22300" tptp.mworld)) % 1.42/1.72 (define @t383 () (@var "BOUND_VARIABLE_22273" $$unsorted)) % 1.42/1.72 (define @t384 () (or @t196 @t380)) % 1.42/1.72 (define @t385 () (tptp.member @t383 @t13 @t381)) % 1.42/1.72 (define @t386 () (not (tptp.mrel @t382 @t381))) % 1.42/1.72 (define @t387 () (tptp.member @t383 @t10 @t176)) % 1.42/1.72 (define @t388 () (not (forall @t178 (or (not (tptp.mrel @t382 @t176)) @t387)))) % 1.42/1.72 (define @t389 () (@list @t383 @t382 @t381)) % 1.42/1.72 (define @t390 () (forall @t389 (or (not (tptp.mrel @t7 @t382)) @t388 @t386 @t385))) % 1.42/1.72 (define @t391 () (not (tptp.mrel @t7 @t381))) % 1.42/1.72 (define @t392 () (not (tptp.mrel @t7 @t176))) % 1.42/1.72 (define @t393 () (or @t196 (not (forall @t178 (or @t392 @t387))) @t391 @t385)) % 1.42/1.72 (define @t394 () (forall (@list @t383 @t7 @t381) @t393)) % 1.42/1.72 (define @t395 () (lambda @t4 @t394)) % 1.42/1.72 (define @t396 () (or @t196 (_ @t395 @t7))) % 1.42/1.72 (define @t397 () (forall @t156 @t396)) % 1.42/1.72 (define @t398 () (lambda @t4 @t397)) % 1.42/1.72 (define @t399 () (@list @t7 @t381)) % 1.42/1.72 (define @t400 () (forall @t399 @t393)) % 1.42/1.72 (define @t401 () (@list @t383)) % 1.42/1.72 (define @t402 () (tptp.member @t47 @t13 @t381)) % 1.42/1.72 (define @t403 () (tptp.member @t47 @t10 @t176)) % 1.42/1.72 (define @t404 () (forall @t178 (or @t392 @t403))) % 1.42/1.72 (define @t405 () (not @t404)) % 1.42/1.72 (define @t406 () (forall @t399 (or @t244 @t405 @t391 @t402))) % 1.42/1.72 (define @t407 () (lambda @t53 @t406)) % 1.42/1.72 (define @t408 () (_ @t407 @t383 @t1)) % 1.42/1.72 (define @t409 () (forall @t401 @t408)) % 1.42/1.72 (define @t410 () (lambda @t4 @t409)) % 1.42/1.72 (define @t411 () (or @t196 @t405 @t391 @t402)) % 1.42/1.72 (define @t412 () (or @t391 @t402)) % 1.42/1.72 (define @t413 () (or @t196 @t405 @t412)) % 1.42/1.72 (define @t414 () (forall @t399 @t413)) % 1.42/1.72 (define @t415 () (@list @t381)) % 1.42/1.72 (define @t416 () (forall @t415 @t413)) % 1.42/1.72 (define @t417 () (forall @t415 @t412)) % 1.42/1.72 (define @t418 () (@var "BOUND_VARIABLE_22221" tptp.mworld)) % 1.42/1.72 (define @t419 () (@list @t418)) % 1.42/1.72 (define @t420 () (or @t196 @t405 @t417)) % 1.42/1.72 (define @t421 () (tptp.member @t47 @t13 @t418)) % 1.42/1.72 (define @t422 () (@list @t418)) % 1.42/1.72 (define @t423 () (forall @t422 (or (not (tptp.mrel @t7 @t418)) @t421))) % 1.42/1.72 (define @t424 () (or @t196 @t405 @t423)) % 1.42/1.72 (define @t425 () (=> @t404 @t423)) % 1.42/1.72 (define @t426 () (or @t196 @t425)) % 1.42/1.72 (define @t427 () (tptp.member @t47 @t13 @t7)) % 1.42/1.72 (define @t428 () (forall @t156 (or @t196 @t427))) % 1.42/1.72 (define @t429 () (tptp.member @t47 @t10 @t7)) % 1.42/1.72 (define @t430 () (forall @t156 (or @t196 @t429))) % 1.42/1.72 (define @t431 () (=> @t430 @t428)) % 1.42/1.72 (define @t432 () (lambda @t4 @t431)) % 1.42/1.72 (define @t433 () (or @t196 (_ @t432 @t7))) % 1.42/1.72 (define @t434 () (forall @t156 @t433)) % 1.42/1.72 (define @t435 () (lambda @t4 @t434)) % 1.42/1.72 (define @t436 () (lambda @t4 @t428)) % 1.42/1.72 (define @t437 () (_ @t436 @t1)) % 1.42/1.72 (define @t438 () (=> @t430 @t437)) % 1.42/1.72 (define @t439 () (lambda @t4 @t438)) % 1.42/1.72 (define @t440 () (_ @t49 @t7)) % 1.42/1.72 (define @t441 () (or @t196 @t440)) % 1.42/1.72 (define @t442 () (_ @t49 @t7)) % 1.42/1.72 (define @t443 () (or @t196 @t442)) % 1.42/1.72 (define @t444 () (forall @t156 @t443)) % 1.42/1.72 (define @t445 () (lambda @t4 @t444)) % 1.42/1.72 (define @t446 () (_ @t241 @t49)) % 1.42/1.72 (define @t447 () (lambda @t4 @t430)) % 1.42/1.72 (define @t448 () (_ @t447 @t1)) % 1.42/1.72 (define @t449 () (=> @t448 @t149)) % 1.42/1.72 (define @t450 () (lambda @t333 @t449)) % 1.42/1.72 (define @t451 () (_ @t51 @t7)) % 1.42/1.72 (define @t452 () (or @t196 @t451)) % 1.42/1.72 (define @t453 () (_ @t51 @t7)) % 1.42/1.72 (define @t454 () (or @t196 @t453)) % 1.42/1.72 (define @t455 () (forall @t156 @t454)) % 1.42/1.72 (define @t456 () (lambda @t4 @t455)) % 1.42/1.72 (define @t457 () (_ @t241 @t51)) % 1.42/1.72 (define @t458 () (lambda @t53 (_ (_ @t241 (_ (_ @t153 @t457) @t446)) @t9))) % 1.42/1.72 (define @t459 () (lambda @t4 @t328)) % 1.42/1.72 (define @t460 () (_ @t459 @t1)) % 1.42/1.72 (define @t461 () (and @t460 @t149)) % 1.42/1.72 (define @t462 () (lambda @t333 @t461)) % 1.42/1.72 (define @t463 () (or @t289 @t279 @t278 @t277 @t315)) % 1.42/1.72 (define @t464 () (or @t196 @t318 @t463)) % 1.42/1.72 (define @t465 () (forall @t300 @t464)) % 1.42/1.72 (define @t466 () (@list @t264 @t263 @t262 @t261)) % 1.42/1.72 (define @t467 () (forall @t466 @t464)) % 1.42/1.72 (define @t468 () (forall @t466 @t463)) % 1.42/1.72 (define @t469 () (@var "BOUND_VARIABLE_22357" tptp.mworld)) % 1.42/1.72 (define @t470 () (or @t196 @t318 @t468)) % 1.42/1.72 (define @t471 () (not (tptp.mrel @t469 @t174))) % 1.42/1.72 (define @t472 () (@list @t469 @t173 @t174 @t172)) % 1.42/1.72 (define @t473 () (forall @t472 (or (not (tptp.mrel @t7 @t469)) @t471 @t219 @t175 @t312))) % 1.42/1.72 (define @t474 () (or @t196 @t318 @t473)) % 1.42/1.72 (define @t475 () (=> @t317 @t473)) % 1.42/1.72 (define @t476 () (or @t196 @t475)) % 1.42/1.72 (define @t477 () (=> @t350 @t354)) % 1.42/1.72 (define @t478 () (lambda @t4 @t477)) % 1.42/1.72 (define @t479 () (or @t196 (_ @t478 @t7))) % 1.42/1.72 (define @t480 () (forall @t156 @t479)) % 1.42/1.72 (define @t481 () (lambda @t4 @t480)) % 1.42/1.72 (define @t482 () (=> @t350 @t372)) % 1.42/1.72 (define @t483 () (lambda @t4 @t482)) % 1.42/1.72 (define @t484 () (=> @t361 @t149)) % 1.42/1.72 (define @t485 () (lambda @t333 @t484)) % 1.42/1.72 (define @t486 () (_ @t241 (_ @t252 @t458))) % 1.42/1.72 (define @t487 () (lambda @t17 (_ (_ (_ @t151 (_ @t241 (_ (_ @t153 @t370) @t486))) (_ @t241 (_ (_ @t153 @t486) @t370))) @t9))) % 1.42/1.72 (define @t488 () (not @t8)) % 1.42/1.72 (define @t489 () (or @t488 @t155)) % 1.42/1.72 (define @t490 () (@var "BOUND_VARIABLE_37271" tptp.mworld)) % 1.42/1.72 (define @t491 () (@var "BOUND_VARIABLE_37269" $$unsorted)) % 1.42/1.72 (define @t492 () (tptp.subclass @t491 @t491 @t490)) % 1.42/1.72 (define @t493 () (not (tptp.mrel @t7 @t490))) % 1.42/1.72 (define @t494 () (@list @t7 @t491 @t490)) % 1.42/1.72 (define @t495 () (forall @t494 (or @t193 @t493 @t492))) % 1.42/1.72 (define @t496 () (@quantifiers_skolemize @t495 2)) % 1.42/1.72 (define @t497 () (@quantifiers_skolemize @t495 0)) % 1.42/1.72 (define @t498 () (@quantifiers_skolemize @t495 1)) % 1.42/1.72 (define @t499 () (@var "BOUND_VARIABLE_32648" tptp.mworld)) % 1.42/1.72 (define @t500 () (@var "BOUND_VARIABLE_32644" $$unsorted)) % 1.42/1.72 (define @t501 () (@var "BOUND_VARIABLE_32646" tptp.mworld)) % 1.42/1.72 (define @t502 () (@var "BOUND_VARIABLE_32551" tptp.mworld)) % 1.42/1.72 (define @t503 () (@quantifiers_skolemize (forall @t163 (or (not (forall @t156 (or @t193 (tptp.member @t10 tptp.universal_class @t7)))) (not (forall @t156 (or @t193 (tptp.inductive @t10 @t7)))) (not (forall (@list @t7 @t500 @t501 @t499) (or @t193 (not (tptp.mrel @t7 @t501)) (not (forall (@list @t502) (or (not (tptp.mrel @t501 @t502)) (tptp.inductive @t500 @t502)))) (not (tptp.mrel @t501 @t499)) (tptp.subclass @t10 @t500 @t499)))))) 0)) % 1.42/1.72 (define @t504 () (tptp.mrel @t1 @t1)) % 1.42/1.72 (define @t505 () (or @t196 @t493 @t492)) % 1.42/1.72 (define @t506 () (lambda @t4 (forall @t494 @t505))) % 1.42/1.72 (define @t507 () (_ @t506 tptp.mactual)) % 1.42/1.72 (define @t508 () (or @t493 @t492)) % 1.42/1.72 (define @t509 () (or @t196 @t508)) % 1.42/1.72 (define @t510 () (forall @t494 @t509)) % 1.42/1.72 (define @t511 () (@list @t491 @t490)) % 1.42/1.72 (define @t512 () (forall @t511 @t509)) % 1.42/1.72 (define @t513 () (forall @t511 @t508)) % 1.42/1.72 (define @t514 () (@var "BOUND_VARIABLE_37253" tptp.mworld)) % 1.42/1.72 (define @t515 () (or @t196 @t513)) % 1.42/1.72 (define @t516 () (tptp.subclass @t10 @t10 @t514)) % 1.42/1.72 (define @t517 () (@list @t10 @t514)) % 1.42/1.72 (define @t518 () (forall @t517 (or (not (tptp.mrel @t7 @t514)) @t516))) % 1.42/1.72 (define @t519 () (tptp.subclass @t10 @t10 @t7)) % 1.42/1.72 (define @t520 () (or @t196 @t519)) % 1.42/1.72 (define @t521 () (forall (@list @t10 @t7) @t520)) % 1.42/1.72 (define @t522 () (lambda @t4 @t521)) % 1.42/1.72 (define @t523 () (or @t196 (_ @t522 @t7))) % 1.42/1.72 (define @t524 () (forall @t156 @t523)) % 1.42/1.72 (define @t525 () (lambda @t4 @t524)) % 1.42/1.72 (define @t526 () (forall @t156 @t520)) % 1.42/1.72 (define @t527 () (forall @t156 (or @t244 @t519))) % 1.42/1.72 (define @t528 () (lambda @t12 @t527)) % 1.42/1.72 (define @t529 () (_ @t528 @t10 @t1)) % 1.42/1.72 (define @t530 () (forall @t163 @t529)) % 1.42/1.72 (define @t531 () (lambda @t4 @t530)) % 1.42/1.72 (define @t532 () (_ @t140 @t7)) % 1.42/1.72 (define @t533 () (or @t196 @t532)) % 1.42/1.72 (define @t534 () (_ @t140 @t7)) % 1.42/1.72 (define @t535 () (or @t196 @t534)) % 1.42/1.72 (define @t536 () (forall @t156 @t535)) % 1.42/1.72 (define @t537 () (lambda @t4 @t536)) % 1.42/1.72 (define @t538 () (_ @t241 @t140)) % 1.42/1.72 (define @t539 () (lambda @t12 (_ @t538 @t9))) % 1.42/1.72 (define @t540 () (tptp.mrel tptp.mactual @t497)) % 1.42/1.72 (define @t541 () (tptp.subclass @t498 @t498 @t496)) % 1.42/1.72 (define @t542 () (tptp.mrel @t497 @t496)) % 1.42/1.72 (define @t543 () (not @t542)) % 1.42/1.72 (define @t544 () (not @t540)) % 1.42/1.72 (define @t545 () (or @t544 @t543 @t541)) % 1.42/1.72 (define @t546 () (@list true)) % 1.42/1.72 (define @t547 () (@list @t545)) % 1.42/1.72 (define @t548 () (forall @t181 (or (not (tptp.mrel @t497 @t179)) @t180 (not (forall @t178 (or @t177 (tptp.member @t173 @t498 @t176)))) @t175 (tptp.member @t173 @t498 @t172)))) % 1.42/1.72 (define @t549 () (not @t548)) % 1.42/1.72 (define @t550 () (tptp.mrel @t497 @t497)) % 1.42/1.72 (define @t551 () (not @t550)) % 1.42/1.72 (define @t552 () (or @t551 @t549 @t543 @t541)) % 1.42/1.72 (define @t553 () (not (tptp.mrel @t497 tptp.mactual))) % 1.42/1.72 (define @t554 () (and (or @t553 (not (forall @t190 (or (not (tptp.mrel tptp.mactual @t189)) (tptp.subclass @t498 tptp.universal_class @t189)))) @t544 @t553 (not (forall @t178 (or (not (tptp.mrel tptp.mactual @t176)) (tptp.member @t503 @t498 @t176)))) @t544 (tptp.member @t503 tptp.universal_class @t497)) @t552)) % 1.42/1.72 (define @t555 () (tptp.mrel tptp.mactual tptp.mactual)) % 1.42/1.72 (define @t556 () (not @t555)) % 1.42/1.72 (define @t557 () (or @t556 @t544 @t554)) % 1.42/1.72 (define @t558 () (@quantifiers_skolemize @t548 1)) % 1.42/1.72 (define @t559 () (@quantifiers_skolemize @t548 2)) % 1.42/1.72 (define @t560 () (forall @t178 (or (not (tptp.mrel @t559 @t176)) (tptp.member @t558 @t498 @t176)))) % 1.42/1.72 (define @t561 () (@quantifiers_skolemize @t548 3)) % 1.42/1.72 (define @t562 () (tptp.member @t558 @t498 @t561)) % 1.42/1.72 (define @t563 () (tptp.mrel @t559 @t561)) % 1.42/1.72 (define @t564 () (not @t563)) % 1.42/1.72 (define @t565 () (not @t560)) % 1.42/1.72 (define @t566 () (@quantifiers_skolemize @t548 0)) % 1.42/1.72 (define @t567 () (or (not (tptp.mrel @t497 @t566)) (not (tptp.mrel @t566 @t559)) @t565 @t564 @t562)) % 1.42/1.72 (define @t568 () (@list @t567)) % 1.42/1.72 (define @t569 () (or @t564 @t562)) % 1.42/1.72 (define @t570 () (not @t569)) % 1.42/1.72 (assume @p1 @t5) % 1.42/1.72 (assume @p2 (forall (@list @t1 @t7 @t6) (=> (and @t8 (_ (_ tptp.mrel @t7) @t6)) (_ @t2 @t6)))) % 1.42/1.72 (assume @p3 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ @t11 @t10)) @t9)))))) % 1.42/1.72 (assume @p4 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ @t16 (_ tptp.mbox (_ @t14 @t10)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p5 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ (_ tptp.mand @t15) (_ tptp.mbox (_ @t14 @t18)))) (_ tptp.mbox (_ @t11 @t18)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p6 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.apply @t22) @t20)) (_ (_ tptp.apply @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p7 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t28 @t22)) (_ @t28 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p8 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.complement @t22)) (_ tptp.complement @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p9 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.compose @t22) @t20)) (_ (_ tptp.compose @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p10 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t29 @t22)) (_ @t29 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p11 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.cross_product @t22) @t20)) (_ (_ tptp.cross_product @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p12 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t30 @t22)) (_ @t30 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p13 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.domain_of @t22)) (_ tptp.domain_of @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p14 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.first @t22)) (_ tptp.first @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p15 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.flip @t22)) (_ tptp.flip @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p16 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.image @t22) @t20)) (_ (_ tptp.image @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p17 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t31 @t22)) (_ @t31 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p18 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.intersection @t22) @t20)) (_ (_ tptp.intersection @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p19 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t32 @t22)) (_ @t32 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p20 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inverse @t22)) (_ tptp.inverse @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p21 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.ordered_pair @t22) @t20)) (_ (_ tptp.ordered_pair @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p22 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t33 @t22)) (_ @t33 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p23 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.power_class @t22)) (_ tptp.power_class @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p24 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.range_of @t22)) (_ tptp.range_of @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p25 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t35 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ (_ tptp.restrict @t22) @t20) @t34)) (_ (_ (_ tptp.restrict @t21) @t20) @t34))))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p26 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t35 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ @t36 @t22) @t34)) (_ (_ @t36 @t21) @t34))))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p27 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t35 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t37 @t22)) (_ @t37 @t21))))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p28 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.rotate @t22)) (_ tptp.rotate @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p29 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.second @t22)) (_ tptp.second @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p30 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.singleton @t22)) (_ tptp.singleton @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p31 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.successor @t22)) (_ tptp.successor @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p32 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.sum_class @t22)) (_ tptp.sum_class @t21))))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p33 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.union @t22) @t20)) (_ (_ tptp.union @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p34 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t38 @t22)) (_ @t38 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p35 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.unordered_pair @t22) @t20)) (_ (_ tptp.unordered_pair @t21) @t20))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p36 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ @t24 (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t39 @t22)) (_ @t39 @t21))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p37 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ (_ tptp.disjoint @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.disjoint @t21) @t20)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p38 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ @t41 @t22)))) (_ tptp.mbox (_ @t41 @t21)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p39 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ tptp.function @t22)))) (_ tptp.mbox (_ tptp.function @t21)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p40 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ tptp.inductive @t22)))) (_ tptp.mbox (_ tptp.inductive @t21)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p41 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ (_ tptp.member @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.member @t21) @t20)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p42 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ @t42 @t22)))) (_ tptp.mbox (_ @t42 @t21)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p43 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ (_ tptp.subclass @t22) @t20)))) (_ tptp.mbox (_ (_ tptp.subclass @t21) @t20)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p44 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t27 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t26 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t25 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t40 (_ tptp.mbox (_ @t43 @t22)))) (_ tptp.mbox (_ @t43 @t21)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p45 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di @t57)))) % 1.42/1.72 (assume @p46 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ @t44 tptp.universal_class)) @t9)))))) % 1.42/1.72 (assume @p47 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ @t16 @t58))) (_ tptp.mbox (_ (_ tptp.mimplies @t58) @t15))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p48 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t61) @t65))) (_ tptp.mbox (_ (_ tptp.mimplies @t65) @t61))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p49 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.member @t60) tptp.universal_class)) @t9)))) @t9)))))) % 1.42/1.72 (assume @p50 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq @t66) (_ @t59 @t10))) @t9)))))) % 1.42/1.72 (assume @p51 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq @t68) (_ (_ tptp.unordered_pair @t66) (_ @t59 @t67)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p52 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t77 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t73) @t76))) (_ tptp.mbox (_ (_ tptp.mimplies @t76) @t73))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p53 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ @t78 @t69))) (_ tptp.mbox (_ (_ tptp.qmltpeq @t18) (_ (_ tptp.ordered_pair (_ tptp.first @t18)) (_ tptp.second @t18)))))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p54 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t80) @t85))) (_ tptp.mbox (_ (_ tptp.mimplies @t85) @t80))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p55 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.subclass tptp.element_relation) @t86)))) % 1.42/1.72 (assume @p56 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t87) @t90))) (_ tptp.mbox (_ (_ tptp.mimplies @t90) @t87))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p57 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t91) @t93))) (_ tptp.mbox (_ (_ tptp.mimplies @t93) @t91))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p58 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq (_ @t95 @t13)) (_ (_ tptp.intersection @t94) @t69))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p59 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t81 tptp.null_class)))) @t9)))))) % 1.42/1.72 (assume @p60 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t97) @t98))) (_ tptp.mbox (_ (_ tptp.mimplies @t98) @t97))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p61 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t77 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t107 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t102) @t106))) (_ tptp.mbox (_ (_ tptp.mimplies @t106) @t102))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p62 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ (_ tptp.subclass @t99) @t104)) @t9)))))) % 1.42/1.72 (assume @p63 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t77 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t107 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t109) @t110))) (_ tptp.mbox (_ (_ tptp.mimplies @t110) @t109))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p64 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ (_ tptp.subclass @t108) @t104)) @t9)))))) % 1.42/1.72 (assume @p65 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t112) @t113))) (_ tptp.mbox (_ (_ tptp.mimplies @t113) @t112))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p66 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ @t114 (_ @t111 @t66))) @t9)))))) % 1.42/1.72 (assume @p67 (_ tptp.mlocal (_ tptp.mbox (_ (_ tptp.subclass tptp.successor_relation) @t86)))) % 1.42/1.72 (assume @p68 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t115) @t118))) (_ tptp.mbox (_ (_ tptp.mimplies @t118) @t115))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p69 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.inverse @t13)) (_ tptp.domain_of (_ tptp.flip (_ (_ tptp.cross_product @t13) tptp.universal_class))))) @t9)))))) % 1.42/1.72 (assume @p70 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t19 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq (_ tptp.range_of @t18)) (_ tptp.domain_of (_ tptp.inverse @t18)))) @t9)))))) % 1.42/1.72 (assume @p71 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq (_ (_ tptp.image @t94) @t10)) (_ tptp.range_of (_ @t95 tptp.universal_class)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p72 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t119) @t120))) (_ tptp.mbox (_ (_ tptp.mimplies @t120) @t119))) @t9)))))) % 1.42/1.72 (assume @p73 (_ tptp.mlocal (_ tptp.mexists_di (lambda @t12 (_ (_ @t117 (_ (_ tptp.mand @t119) (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.inductive @t13))) @t46)) @t9)))))) @t9))))) % 1.42/1.72 (assume @p74 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t122) @t123))) (_ tptp.mbox (_ (_ tptp.mimplies @t123) @t122))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p75 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t116) (_ tptp.mbox (_ (_ tptp.member @t121) tptp.universal_class)))) @t9)))))) % 1.42/1.72 (assume @p76 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t124) @t125))) (_ tptp.mbox (_ (_ tptp.mimplies @t125) @t124))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p77 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t63) (_ tptp.mbox (_ (_ tptp.member (_ tptp.power_class @t47)) tptp.universal_class)))) @t9)))))) % 1.42/1.72 (assume @p78 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t128 (_ (_ tptp.mbox (_ (_ tptp.subclass @t127) @t86)) @t9)))) @t9)))))) % 1.42/1.72 (assume @p79 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t96 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t128 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t53 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t77 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t129) @t131))) (_ tptp.mbox (_ (_ tptp.mimplies @t131) @t129))) @t9)))) @t9)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p80 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t135 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t133) @t134))) (_ tptp.mbox (_ (_ tptp.mimplies @t134) @t133))) @t9)))))) % 1.42/1.72 (assume @p81 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t135 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ @t117 @t133)) (_ tptp.mbox (_ (_ tptp.member (_ @t136 @t10)) tptp.universal_class)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p82 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ (_ tptp.mand (_ tptp.mbox (_ (_ tptp.mimplies @t137) @t138))) (_ tptp.mbox (_ (_ tptp.mimplies @t138) @t137))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p83 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t12 (_ (_ tptp.mbox (_ (_ tptp.mimplies (_ tptp.mbox (_ tptp.mnot (_ tptp.mbox (_ @t11 tptp.null_class))))) (_ tptp.mexists_di (lambda @t53 (_ (_ @t64 (_ @t75 (_ tptp.mbox (_ (_ tptp.disjoint @t47) @t10)))) @t9))))) @t9)))))) % 1.42/1.72 (assume @p84 (_ tptp.mlocal (_ tptp.mbox (_ tptp.mforall_di (lambda @t135 (_ (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.qmltpeq @t139) (_ tptp.sum_class (_ @t136 @t67)))) @t9)))) @t9)))))) % 1.42/1.72 (assume @p85 (_ tptp.mlocal (_ tptp.mexists_di (lambda @t135 (_ (_ (_ tptp.mand @t133) (_ tptp.mbox (_ tptp.mforall_di (lambda @t17 (_ (_ tptp.mbox (_ (_ tptp.mimplies @t83) (_ (_ tptp.mor (_ tptp.mbox (_ @t14 tptp.null_class))) (_ tptp.mbox (_ (_ tptp.member @t139) @t13))))) @t9))))) @t9))))) % 1.42/1.72 (assume @p86 @t142) % 1.42/1.72 (assume @p87 true) % 1.42/1.72 (step @p88 (= tptp.mlocal @t144) :rule refl :args (@t144)) % 1.42/1.72 (step @p89 (= tptp.mnot @t147) :rule refl :args (@t147)) % 1.42/1.72 (step @p90 (= tptp.mand @t151) :rule refl :args (@t151)) % 1.42/1.72 (step @p91 (= tptp.mor @t152) :rule refl :args (@t152)) % 1.42/1.72 (step @p92 (= tptp.mimplies @t153) :rule refl :args (@t153)) % 1.42/1.72 (step @p93 (= tptp.mequiv @t154) :rule refl :args (@t154)) % 1.42/1.72 (step @p94 (= tptp.mbox @t159) :rule refl :args (@t159)) % 1.42/1.72 (step @p95 (= tptp.mdia @t160) :rule refl :args (@t160)) % 1.42/1.72 (step @p96 (= tptp.mforall_di @t166) :rule refl :args (@t166)) % 1.42/1.72 (step @p97 (= tptp.mexists_di @t167) :rule refl :args (@t167)) % 1.42/1.72 (step @p98 :rule beta-reduce :args ((= @t199 (forall @t194 (or @t193 @t192 @t191))))) % 1.42/1.72 (step @p99 :rule beta-reduce :args ((= (_ @t144 @t198) @t199))) % 1.42/1.72 (step @p100 :rule trans :premises (@p99 @p98)) % 1.42/1.72 (step @p101 :rule aci_norm :args ((= @t201 @t197))) % 1.42/1.72 (step @p102 :rule cong :premises (@p101) :args (@t202)) % 1.42/1.72 (step @p103 :rule quant-merge-prenex :args ((= (forall @t156 @t204) @t202))) % 1.42/1.72 (step @p104 :rule alpha_equiv :args (@t205 (@list @t170 @t182 @t184 @t188 @t187 @t185 @t186 @t183 @t169 @t171 @t168) (@list @t10 @t215 @t214 @t213 @t212 @t211 @t210 @t209 @t208 @t207 @t206))) % 1.42/1.72 (step @p105 :rule refl :args (@t196)) % 1.42/1.72 (step @p106 :rule nary_cong :premises (@p105 @p104) :args (@t216)) % 1.42/1.72 (step @p107 :rule quant-miniscope-or :args ((= @t204 @t216))) % 1.42/1.72 (step @p108 :rule trans :premises (@p107 @p106)) % 1.42/1.72 (step @p109 :rule symm :premises (@p108)) % 1.42/1.72 (step @p110 :rule cong :premises (@p109) :args ((forall @t156 (or @t196 @t229)))) % 1.42/1.72 (step @p111 :rule trans :premises (@p110 @p103)) % 1.42/1.72 (step @p112 :rule trans :premises (@p111 @p102)) % 1.42/1.72 (step @p113 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t228 (or (not (tptp.mrel @t1 @t215)) @t227))) @t7) @t229))) % 1.42/1.72 (step @p114 :rule refl :args (@t7)) % 1.42/1.72 (step @p115 :rule alpha_equiv :args (@t234 @t235 (@list @t215))) % 1.42/1.72 (step @p116 :rule cong :premises (@p115) :args (@t236)) % 1.42/1.72 (step @p117 :rule ho_cong :premises (@p116 @p114)) % 1.42/1.72 (step @p118 :rule trans :premises (@p117 @p113)) % 1.42/1.72 (step @p119 :rule refl :args (@t196)) % 1.42/1.72 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t237)) % 1.42/1.72 (step @p121 :rule cong :premises (@p120) :args (@t238)) % 1.42/1.72 (step @p122 :rule trans :premises (@p121 @p112)) % 1.42/1.72 (step @p123 :rule cong :premises (@p122) :args (@t239)) % 1.42/1.72 (step @p124 :rule beta-reduce :args ((= (_ @t241 @t236) @t239))) % 1.42/1.72 (step @p125 :rule trans :premises (@p124 @p123)) % 1.42/1.72 (step @p126 :rule quant-merge-prenex :args ((= (forall @t163 @t243) @t234))) % 1.42/1.72 (step @p127 :rule beta-reduce :args ((= @t247 @t243))) % 1.42/1.72 (step @p128 :rule cong :premises (@p127) :args (@t248)) % 1.42/1.72 (step @p129 :rule trans :premises (@p128 @p126)) % 1.42/1.72 (step @p130 :rule cong :premises (@p129) :args (@t249)) % 1.42/1.72 (step @p131 :rule beta-reduce :args ((= (_ @t252 @t246) @t249))) % 1.42/1.72 (step @p132 :rule trans :premises (@p131 @p130)) % 1.42/1.72 (step @p133 :rule beta-reduce :args ((= (_ (lambda @t4 @t243) @t9) @t245))) % 1.42/1.72 (step @p134 :rule refl :args (@t9)) % 1.42/1.72 (step @p135 :rule quant-merge-prenex :args ((= (forall @t156 @t254) @t243))) % 1.42/1.72 (step @p136 :rule alpha_equiv :args (@t255 (@list @t208 @t207 @t206) (@list @t258 @t257 @t256))) % 1.42/1.72 (step @p137 :rule quant-unused-vars :args ((= @t259 @t255))) % 1.42/1.72 (step @p138 :rule trans :premises (@p137 @p136)) % 1.42/1.72 (step @p139 :rule alpha_equiv :args (@t260 (@list @t214 @t213 @t212 @t211 @t210 @t209) (@list @t266 @t265 @t264 @t263 @t262 @t261))) % 1.42/1.72 (step @p140 :rule quant-unused-vars :args ((= @t267 @t260))) % 1.42/1.72 (step @p141 :rule trans :premises (@p140 @p139)) % 1.42/1.72 (step @p142 :rule nary_cong :premises (@p141 @p138) :args (@t268)) % 1.42/1.72 (step @p143 :rule quant-miniscope-and :args ((= @t269 @t268))) % 1.42/1.72 (step @p144 :rule trans :premises (@p143 @p142)) % 1.42/1.72 (step @p145 :rule nary_cong :premises (@p105 @p144) :args (@t270)) % 1.42/1.72 (step @p146 :rule quant-miniscope-or :args ((= @t254 @t270))) % 1.42/1.72 (step @p147 :rule trans :premises (@p146 @p145)) % 1.42/1.72 (step @p148 :rule symm :premises (@p147)) % 1.42/1.72 (step @p149 :rule cong :premises (@p148) :args ((forall @t156 (or @t196 @t284)))) % 1.42/1.72 (step @p150 :rule trans :premises (@p149 @p135)) % 1.42/1.72 (step @p151 :rule beta-reduce :args ((= (_ (lambda @t4 (and (forall @t283 (or (not (tptp.mrel @t1 @t265)) @t282 @t280 @t279 @t278 @t277 @t276)) (forall @t275 (or (not (tptp.mrel @t1 @t257)) @t274 @t272 @t271)))) @t7) @t284))) % 1.42/1.72 (step @p152 :rule alpha_equiv :args (@t288 @t235 (@list @t257))) % 1.42/1.72 (step @p153 :rule alpha_equiv :args (@t292 @t235 (@list @t265))) % 1.42/1.72 (step @p154 :rule nary_cong :premises (@p153 @p152) :args (@t293)) % 1.42/1.72 (step @p155 :rule cong :premises (@p154) :args (@t294)) % 1.42/1.72 (step @p156 :rule ho_cong :premises (@p155 @p114)) % 1.42/1.72 (step @p157 :rule trans :premises (@p156 @p151)) % 1.42/1.72 (step @p158 :rule nary_cong :premises (@p119 @p157) :args (@t295)) % 1.42/1.72 (step @p159 :rule cong :premises (@p158) :args (@t296)) % 1.42/1.72 (step @p160 :rule trans :premises (@p159 @p150)) % 1.42/1.72 (step @p161 :rule cong :premises (@p160) :args (@t297)) % 1.42/1.72 (step @p162 :rule beta-reduce :args ((= (_ @t241 @t294) @t297))) % 1.42/1.72 (step @p163 :rule trans :premises (@p162 @p161)) % 1.42/1.72 (step @p164 :rule quant-merge-prenex :args ((= @t299 @t288))) % 1.42/1.72 (step @p165 :rule quant-merge-prenex :args ((= @t301 @t292))) % 1.42/1.72 (step @p166 :rule nary_cong :premises (@p165 @p164) :args ((and @t301 @t299))) % 1.42/1.72 (step @p167 :rule alpha_equiv :args (@t305 @t306 (@list @t258))) % 1.42/1.72 (step @p168 :rule alpha_equiv :args (@t308 @t306 (@list @t266))) % 1.42/1.72 (step @p169 :rule nary_cong :premises (@p168 @p167) :args (@t309)) % 1.42/1.72 (step @p170 :rule quant-miniscope-and :args ((= (forall @t304 @t310) @t309))) % 1.42/1.72 (step @p171 :rule trans :premises (@p170 @p169)) % 1.42/1.72 (step @p172 :rule trans :premises (@p171 @p166)) % 1.42/1.72 (step @p173 :rule beta-reduce :args ((= @t321 @t310))) % 1.42/1.72 (step @p174 :rule cong :premises (@p173) :args (@t322)) % 1.42/1.72 (step @p175 :rule trans :premises (@p174 @p172)) % 1.42/1.72 (step @p176 :rule cong :premises (@p175) :args (@t323)) % 1.42/1.72 (step @p177 :rule beta-reduce :args ((= (_ (lambda @t165 (forall @t304 (_ @t161 @t302 @t1))) @t320) @t323))) % 1.42/1.72 (step @p178 :rule trans :premises (@p177 @p176)) % 1.42/1.72 (step @p179 :rule refl :args (@t320)) % 1.42/1.72 (step @p180 :rule alpha_equiv :args (@t251 @t324 @t306)) % 1.42/1.72 (step @p181 :rule cong :premises (@p180) :args (@t252)) % 1.42/1.72 (step @p182 :rule ho_cong :premises (@p181 @p179)) % 1.42/1.72 (step @p183 :rule trans :premises (@p182 @p178)) % 1.42/1.72 (step @p184 :rule beta-reduce :args ((= (_ (lambda @t4 (and @t328 @t326)) @t9) @t319))) % 1.42/1.72 (step @p185 :rule beta-reduce :args ((= @t330 @t326))) % 1.42/1.72 (step @p186 :rule refl :args (@t328)) % 1.42/1.72 (step @p187 :rule nary_cong :premises (@p186 @p185) :args (@t331)) % 1.42/1.72 (step @p188 :rule cong :premises (@p187) :args (@t332)) % 1.42/1.72 (step @p189 :rule beta-reduce :args ((= (_ (lambda @t333 (and @t328 @t149)) @t329) @t332))) % 1.42/1.72 (step @p190 :rule trans :premises (@p189 @p188)) % 1.42/1.72 (step @p191 :rule aci_norm :args ((= @t335 @t325))) % 1.42/1.72 (step @p192 :rule cong :premises (@p191) :args (@t336)) % 1.42/1.72 (step @p193 :rule quant-merge-prenex :args ((= (forall @t156 @t338) @t336))) % 1.42/1.72 (step @p194 :rule alpha_equiv :args (@t339 (@list @t256) @t341)) % 1.42/1.72 (step @p195 :rule refl :args (@t314)) % 1.42/1.72 (step @p196 :rule nary_cong :premises (@p105 @p195 @p194) :args (@t342)) % 1.42/1.72 (step @p197 :rule quant-miniscope-or :args ((= @t338 @t342))) % 1.42/1.72 (step @p198 :rule trans :premises (@p197 @p196)) % 1.42/1.72 (step @p199 :rule symm :premises (@p198)) % 1.42/1.72 (step @p200 :rule cong :premises (@p199) :args ((forall @t156 @t346))) % 1.42/1.72 (step @p201 :rule trans :premises (@p200 @p193)) % 1.42/1.72 (step @p202 :rule trans :premises (@p201 @p192)) % 1.42/1.72 (step @p203 :rule aci_norm :args ((= (or @t196 (or @t314 @t345)) @t346))) % 1.42/1.72 (step @p204 :rule bool-impl-elim :args (@t313 @t345)) % 1.42/1.72 (step @p205 :rule nary_cong :premises (@p105 @p204) :args (@t348)) % 1.42/1.72 (step @p206 :rule trans :premises (@p205 @p203)) % 1.42/1.72 (step @p207 :rule cong :premises (@p206) :args ((forall @t156 @t348))) % 1.42/1.72 (step @p208 :rule trans :premises (@p207 @p202)) % 1.42/1.72 (step @p209 :rule beta-reduce :args ((= (_ (lambda @t4 (=> (forall @t181 (or (not (tptp.mrel @t1 @t179)) @t180 @t219 @t175 @t312)) (forall @t344 (or (not (tptp.mrel @t1 @t340)) @t343)))) @t7) @t347))) % 1.42/1.72 (step @p210 :rule alpha_equiv :args (@t350 @t235 @t341)) % 1.42/1.72 (step @p211 :rule alpha_equiv :args (@t354 @t235 (@list @t179))) % 1.42/1.72 (step @p212 :rule cong :premises (@p211 @p210) :args (@t355)) % 1.42/1.72 (step @p213 :rule cong :premises (@p212) :args (@t356)) % 1.42/1.72 (step @p214 :rule ho_cong :premises (@p213 @p114)) % 1.42/1.72 (step @p215 :rule trans :premises (@p214 @p209)) % 1.42/1.72 (step @p216 :rule nary_cong :premises (@p119 @p215) :args (@t357)) % 1.42/1.72 (step @p217 :rule cong :premises (@p216) :args (@t358)) % 1.42/1.72 (step @p218 :rule trans :premises (@p217 @p208)) % 1.42/1.72 (step @p219 :rule cong :premises (@p218) :args (@t359)) % 1.42/1.72 (step @p220 :rule beta-reduce :args ((= (_ @t241 @t356) @t359))) % 1.42/1.72 (step @p221 :rule trans :premises (@p220 @p219)) % 1.42/1.72 (step @p222 :rule beta-reduce :args ((= @t361 @t350))) % 1.42/1.72 (step @p223 :rule refl :args (@t354)) % 1.42/1.72 (step @p224 :rule cong :premises (@p223 @p222) :args (@t362)) % 1.42/1.72 (step @p225 :rule cong :premises (@p224) :args (@t363)) % 1.42/1.72 (step @p226 :rule beta-reduce :args ((= (_ (lambda @t333 (=> @t354 @t149)) @t360) @t363))) % 1.42/1.72 (step @p227 :rule trans :premises (@p226 @p225)) % 1.42/1.72 (step @p228 :rule refl :args (@t349)) % 1.42/1.72 (step @p229 :rule refl :args (@t364)) % 1.42/1.72 (step @p230 :rule cong :premises (@p229 @p228) :args ((= @t364 @t349))) % 1.42/1.72 (step @p231 :rule symm :premises (@p230)) % 1.42/1.72 (step @p232 :rule eq_resolve :premises (@p229 @p231)) % 1.42/1.72 (step @p233 :rule nary_cong :premises (@p105 @p232) :args (@t365)) % 1.42/1.72 (step @p234 :rule cong :premises (@p233) :args ((forall @t156 @t365))) % 1.42/1.72 (step @p235 :rule refl :args (@t366)) % 1.42/1.72 (step @p236 :rule nary_cong :premises (@p119 @p235) :args (@t367)) % 1.42/1.72 (step @p237 :rule cong :premises (@p236) :args (@t368)) % 1.42/1.72 (step @p238 :rule trans :premises (@p237 @p234)) % 1.42/1.72 (step @p239 :rule cong :premises (@p238) :args (@t369)) % 1.42/1.72 (step @p240 :rule beta-reduce :args ((= @t370 @t369))) % 1.42/1.72 (step @p241 :rule trans :premises (@p240 @p239)) % 1.42/1.72 (step @p242 :rule refl :args (@t149)) % 1.42/1.72 (step @p243 :rule beta-reduce :args ((= @t372 @t354))) % 1.42/1.72 (step @p244 :rule cong :premises (@p243 @p242) :args (@t373)) % 1.42/1.72 (step @p245 :rule cong :premises (@p244) :args (@t374)) % 1.42/1.72 (step @p246 :rule beta-reduce :args ((= (_ @t153 @t371) @t374))) % 1.42/1.72 (step @p247 :rule trans :premises (@p246 @p245)) % 1.42/1.72 (step @p248 :rule aci_norm :args ((= @t376 @t352))) % 1.42/1.72 (step @p249 :rule cong :premises (@p248) :args (@t377)) % 1.42/1.72 (step @p250 :rule quant-merge-prenex :args ((= (forall @t156 @t379) @t377))) % 1.42/1.72 (step @p251 :rule alpha_equiv :args (@t380 (@list @t173 @t174 @t172) (@list @t383 @t382 @t381))) % 1.42/1.72 (step @p252 :rule nary_cong :premises (@p105 @p251) :args (@t384)) % 1.42/1.72 (step @p253 :rule quant-miniscope-or :args ((= @t379 @t384))) % 1.42/1.72 (step @p254 :rule trans :premises (@p253 @p252)) % 1.42/1.72 (step @p255 :rule symm :premises (@p254)) % 1.42/1.72 (step @p256 :rule cong :premises (@p255) :args ((forall @t156 (or @t196 @t390)))) % 1.42/1.72 (step @p257 :rule trans :premises (@p256 @p250)) % 1.42/1.72 (step @p258 :rule trans :premises (@p257 @p249)) % 1.42/1.72 (step @p259 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t389 (or (not (tptp.mrel @t1 @t382)) @t388 @t386 @t385))) @t7) @t390))) % 1.42/1.72 (step @p260 :rule alpha_equiv :args (@t394 @t235 (@list @t382))) % 1.42/1.72 (step @p261 :rule cong :premises (@p260) :args (@t395)) % 1.42/1.72 (step @p262 :rule ho_cong :premises (@p261 @p114)) % 1.42/1.72 (step @p263 :rule trans :premises (@p262 @p259)) % 1.42/1.72 (step @p264 :rule nary_cong :premises (@p119 @p263) :args (@t396)) % 1.42/1.72 (step @p265 :rule cong :premises (@p264) :args (@t397)) % 1.42/1.72 (step @p266 :rule trans :premises (@p265 @p258)) % 1.42/1.72 (step @p267 :rule cong 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(step @p504 :rule trans :premises (@p503 @p447)) % 1.42/1.72 (step @p505 :rule eq_resolve :premises (@p45 @p504)) % 1.42/1.72 (step @p506 :rule instantiate :premises (@p505) :args ((@list tptp.mactual @t498 @t497 tptp.universal_class tptp.mactual @t497 @t503 tptp.mactual @t497 @t498 @t497 @t496))) % 1.42/1.72 (step @p507 :rule refl :args (@t504)) % 1.42/1.72 (step @p508 :rule refl :args (@t3)) % 1.42/1.72 (step @p509 :rule cong :premises (@p508 @p507) :args ((= @t3 @t504))) % 1.42/1.72 (step @p510 :rule symm :premises (@p509)) % 1.42/1.72 (step @p511 :rule eq_resolve :premises (@p508 @p510)) % 1.42/1.72 (step @p512 :rule cong :premises (@p511) :args (@t5)) % 1.42/1.72 (step @p513 :rule eq_resolve :premises (@p1 @p512)) % 1.42/1.72 (step @p514 :rule instantiate :premises (@p513) :args ((@list tptp.mactual))) % 1.42/1.72 (step @p515 :rule beta-reduce :args ((= @t507 @t495))) % 1.42/1.72 (step @p516 :rule beta-reduce :args ((= (_ @t144 @t506) @t507))) % 1.42/1.72 (step @p517 :rule trans :premises (@p516 @p515)) % 1.42/1.72 (step @p518 :rule aci_norm :args ((= @t509 @t505))) % 1.42/1.72 (step @p519 :rule cong :premises (@p518) :args (@t510)) % 1.42/1.72 (step @p520 :rule quant-merge-prenex :args ((= (forall @t156 @t512) @t510))) % 1.42/1.72 (step @p521 :rule alpha_equiv :args (@t513 (@list @t491 @t490) (@list @t10 @t514))) % 1.42/1.72 (step @p522 :rule nary_cong :premises (@p105 @p521) :args (@t515)) % 1.42/1.72 (step @p523 :rule quant-miniscope-or :args ((= @t512 @t515))) % 1.42/1.72 (step @p524 :rule trans :premises (@p523 @p522)) % 1.42/1.72 (step @p525 :rule symm :premises (@p524)) % 1.42/1.72 (step @p526 :rule cong :premises (@p525) :args ((forall @t156 (or @t196 @t518)))) % 1.42/1.72 (step @p527 :rule trans :premises (@p526 @p520)) % 1.42/1.72 (step @p528 :rule trans :premises (@p527 @p519)) % 1.42/1.72 (step @p529 :rule beta-reduce :args ((= (_ (lambda @t4 (forall @t517 (or (not (tptp.mrel @t1 @t514)) @t516))) @t7) @t518))) % 1.42/1.72 (step @p530 :rule alpha_equiv :args (@t521 @t235 (@list @t514))) % 1.42/1.72 (step @p531 :rule cong :premises (@p530) :args (@t522)) % 1.42/1.72 (step @p532 :rule ho_cong :premises (@p531 @p114)) % 1.42/1.72 (step @p533 :rule trans :premises (@p532 @p529)) % 1.42/1.72 (step @p534 :rule nary_cong :premises (@p119 @p533) :args (@t523)) % 1.42/1.72 (step @p535 :rule cong :premises (@p534) :args (@t524)) % 1.42/1.72 (step @p536 :rule trans :premises (@p535 @p528)) % 1.42/1.72 (step @p537 :rule cong :premises (@p536) :args (@t525)) % 1.42/1.72 (step @p538 :rule beta-reduce :args ((= (_ @t241 @t522) @t525))) % 1.42/1.72 (step @p539 :rule trans :premises (@p538 @p537)) % 1.42/1.72 (step @p540 :rule quant-merge-prenex :args ((= (forall @t163 @t526) @t521))) % 1.42/1.72 (step @p541 :rule beta-reduce :args ((= @t529 @t526))) % 1.42/1.72 (step @p542 :rule cong :premises (@p541) :args (@t530)) % 1.42/1.72 (step @p543 :rule trans :premises (@p542 @p540)) % 1.42/1.72 (step @p544 :rule cong :premises (@p543) :args (@t531)) % 1.42/1.72 (step @p545 :rule beta-reduce :args ((= (_ @t252 @t528) @t531))) % 1.42/1.72 (step @p546 :rule trans :premises (@p545 @p544)) % 1.42/1.72 (step @p547 :rule beta-reduce :args ((= (_ (lambda @t4 @t526) @t9) @t527))) % 1.42/1.72 (step @p548 :rule refl :args (@t519)) % 1.42/1.72 (step @p549 :rule refl :args (@t532)) % 1.42/1.72 (step @p550 :rule cong :premises (@p549 @p548) :args ((= @t532 @t519))) % 1.42/1.72 (step @p551 :rule symm :premises (@p550)) % 1.42/1.72 (step @p552 :rule eq_resolve :premises (@p549 @p551)) % 1.42/1.72 (step @p553 :rule nary_cong :premises (@p105 @p552) :args (@t533)) % 1.42/1.72 (step @p554 :rule cong :premises (@p553) :args ((forall @t156 @t533))) % 1.42/1.72 (step @p555 :rule refl :args (@t534)) % 1.42/1.72 (step @p556 :rule nary_cong :premises (@p119 @p555) :args (@t535)) % 1.42/1.72 (step @p557 :rule cong :premises (@p556) :args (@t536)) % 1.42/1.72 (step @p558 :rule trans :premises (@p557 @p554)) % 1.42/1.72 (step @p559 :rule cong :premises (@p558) :args (@t537)) % 1.42/1.72 (step @p560 :rule beta-reduce :args ((= @t538 @t537))) % 1.42/1.72 (step @p561 :rule trans :premises (@p560 @p559)) % 1.42/1.72 (step @p562 :rule ho_cong :premises (@p561 @p134)) % 1.42/1.72 (step @p563 :rule trans :premises (@p562 @p547)) % 1.42/1.72 (step @p564 :rule cong :premises (@p563) :args (@t539)) % 1.42/1.72 (step @p565 :rule ho_cong :premises (@p364 @p564)) % 1.42/1.72 (step @p566 :rule trans :premises (@p565 @p546)) % 1.42/1.72 (step @p567 :rule ho_cong :premises (@p358 @p566)) % 1.42/1.72 (step @p568 :rule trans :premises (@p567 @p539)) % 1.42/1.72 (step @p569 :rule ho_cong :premises (@p445 @p568)) % 1.42/1.72 (step @p570 :rule trans :premises (@p569 @p517)) % 1.42/1.72 (step @p571 :rule cong :premises (@p570) :args ((not (_ @t144 (_ @t241 (_ @t252 @t539)))))) % 1.42/1.72 (step @p572 :rule refl :args (@t140)) % 1.42/1.72 (step @p573 :rule ho_cong :premises (@p466 @p572)) % 1.42/1.72 (step @p574 :rule ho_cong :premises (@p573 @p134)) % 1.42/1.72 (step @p575 :rule cong :premises (@p574) :args (@t141)) % 1.42/1.72 (step @p576 :rule ho_cong :premises (@p484 @p575)) % 1.42/1.72 (step @p577 :rule ho_cong :premises (@p466 @p576)) % 1.42/1.72 (step @p578 :rule ho_cong :premises (@p88 @p577)) % 1.42/1.72 (step @p579 :rule cong :premises (@p578) :args (@t142)) % 1.42/1.72 (step @p580 :rule trans :premises (@p579 @p571)) % 1.42/1.72 (step @p581 :rule eq_resolve :premises (@p86 @p580)) % 1.42/1.72 (step @p582 :rule skolemize :premises (@p581)) % 1.42/1.72 (step @p583 :rule bool-double-not-elim :args (@t540)) % 1.42/1.72 (step @p584 :rule refl :args (@t545)) % 1.42/1.72 (step @p585 :rule nary_cong :premises (@p584 @p583) :args ((or @t545 (not @t544)))) % 1.42/1.72 (step @p586 :rule cnf_or_neg :args (@t545 0)) % 1.42/1.72 (step @p587 :rule eq_resolve :premises (@p586 @p585)) % 1.42/1.72 (step @p588 :rule reordering :premises (@p587) :args ((or @t540 @t545))) % 1.42/1.72 (step @p589 :rule chain_m_resolution :premises (@p588 @p582) :args (@t540 @t546 @t547)) % 1.42/1.72 (step @p590 :rule cnf_or_pos :args (@t557)) % 1.42/1.72 (step @p591 :rule reordering :premises (@p590) :args ((or @t544 @t556 @t554 (not @t557)))) % 1.42/1.72 (step @p592 :rule chain_m_resolution :premises (@p591 @p589 @p514 @p506) :args (@t554 (@list false false false) (@list @t540 @t555 @t557))) % 1.42/1.72 (step @p593 :rule cnf_and_pos :args (@t554 1)) % 1.42/1.72 (step @p594 :rule reordering :premises (@p593) :args ((or @t552 (not @t554)))) % 1.42/1.72 (step @p595 :rule chain_m_resolution :premises (@p594 @p592) :args (@t552 (@list false) (@list @t554))) % 1.42/1.72 (step @p596 :rule instantiate :premises (@p513) :args ((@list @t497))) % 1.42/1.72 (step @p597 :rule cnf_or_neg :args (@t545 2)) % 1.42/1.72 (step @p598 :rule chain_m_resolution :premises (@p597 @p582) :args ((not @t541) @t546 @t547)) % 1.42/1.72 (step @p599 :rule bool-double-not-elim :args (@t542)) % 1.42/1.72 (step @p600 :rule nary_cong :premises (@p584 @p599) :args ((or @t545 (not @t543)))) % 1.42/1.72 (step @p601 :rule cnf_or_neg :args (@t545 1)) % 1.42/1.72 (step @p602 :rule eq_resolve :premises (@p601 @p600)) % 1.42/1.72 (step @p603 :rule reordering :premises (@p602) :args ((or @t542 @t545))) % 1.42/1.72 (step @p604 :rule chain_m_resolution :premises (@p603 @p582) :args (@t542 @t546 @t547)) % 1.42/1.72 (step @p605 :rule cnf_or_pos :args (@t552)) % 1.42/1.72 (step @p606 :rule reordering :premises (@p605) :args ((or @t543 @t541 @t551 @t549 (not @t552)))) % 1.42/1.72 (step @p607 :rule chain_m_resolution :premises (@p606 @p604 @p598 @p596 @p595) :args (@t549 (@list false true false false) (@list @t542 @t541 @t550 @t552))) % 1.42/1.72 (step @p608 :rule skolemize :premises (@p607)) % 1.42/1.72 (step @p609 :rule bool-double-not-elim :args (@t560)) % 1.42/1.72 (step @p610 :rule refl :args (@t567)) % 1.42/1.72 (step @p611 :rule nary_cong :premises (@p610 @p609) :args ((or @t567 (not @t565)))) % 1.42/1.72 (step @p612 :rule cnf_or_neg :args (@t567 2)) % 1.42/1.72 (step @p613 :rule eq_resolve :premises (@p612 @p611)) % 1.42/1.72 (step @p614 :rule reordering :premises (@p613) :args ((or @t560 @t567))) % 1.42/1.72 (step @p615 :rule chain_m_resolution :premises (@p614 @p608) :args (@t560 @t546 @t568)) % 1.42/1.72 (step @p616 :rule cnf_or_neg :args (@t567 4)) % 1.42/1.72 (step @p617 :rule chain_m_resolution :premises (@p616 @p608) :args ((not @t562) @t546 @t568)) % 1.42/1.72 (step @p618 :rule bool-double-not-elim :args (@t563)) % 1.42/1.72 (step @p619 :rule nary_cong :premises (@p610 @p618) :args ((or @t567 (not @t564)))) % 1.42/1.72 (step @p620 :rule cnf_or_neg :args (@t567 3)) % 1.42/1.72 (step @p621 :rule eq_resolve :premises (@p620 @p619)) % 1.42/1.72 (step @p622 :rule reordering :premises (@p621) :args ((or @t563 @t567))) % 1.42/1.72 (step @p623 :rule chain_m_resolution :premises (@p622 @p608) :args (@t563 @t546 @t568)) % 1.42/1.72 (step @p624 :rule cnf_or_pos :args (@t569)) % 1.42/1.72 (step @p625 :rule reordering :premises (@p624) :args ((or @t564 @t562 @t570))) % 1.42/1.72 (step @p626 :rule chain_m_resolution :premises (@p625 @p623 @p617) :args (@t570 (@list false true) (@list @t563 @t562))) % 1.42/1.72 (assume-push @p633 @t560) % 1.42/1.72 (step @p628 :rule instantiate :premises (@p615) :args ((@list @t561))) % 1.42/1.72 (step-pop @p634 :rule scope :premises (@p628)) % 1.42/1.72 (step @p629 :rule process_scope :premises (@p634) :args (@t569)) % 1.42/1.72 (step @p631 :rule implies_elim :premises (@p629)) % 1.42/1.72 (step @p632 false :rule chain_m_resolution :premises (@p631 @p626 @p615) :args (false (@list true false) (@list @t569 @t560))) % 1.42/1.72 ) % 1.42/1.72 % SZS output end Proof % 1.42/1.72 % cvc5 exiting %------------------------------------------------------------------------------